meganjoysly
meganjoysly meganjoysly
  • 14-03-2017
  • Mathematics
contestada

Find the equation of the tangent line to the curve y=6sinx at the point (π/6,3

Respuesta :

ghanami
ghanami ghanami
  • 19-03-2017
Hello:
f(x) =6sin(x)
f'(x) = 6 cos(x)

the equation of the tangent line is : y=f'(π/6)(x-π/6)+f(π/6)
f'(
π/6)=6cos(π/6)=6×(√3/2)=3√3
f(
π/6) =3
the equation is :  y = 3√3(x-π/6)+3
Answer Link

Otras preguntas

Twice now, scout has considered running away. dill did, in fact, run away from home. why, according to dill, hasn't boo radley never run away from his terrible
Mutations are rare, and occur because of _____. an error in DNA replication migration of organisms to a new population a natural event, such as an earthquake
Why does an apple fall toward the earth, instead of the earth moving toward the apple?
HELP!! I will give brainliest. Can someone please help me fill in this science lab table? I’m so c
According to the ACSM, if you exercise 30 minutes five times a week, you will _____. prevent injury always lose weight maintain your weight gain weight
the quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Which set is a function?
The ostwald process is used commercially to produce nitric acid, which is, in turn, used in many modern chemical processes. in the first step of the ostwald pro
Money left over after the bills are paid is referred to as
True or false !!! T or F